Articles
All vignettes
- Complete API Reference with Examples
A comprehensive reference for all DPprior package functions, organized by category with detailed signatures, parameters, return values, and usage examples.
- The Applied Researcher's Guide to Cluster-Count Elicitation
A comprehensive guide for applied researchers on eliciting Gamma hyperpriors for the Dirichlet Process concentration parameter α based on prior beliefs about the number of clusters.
- Case Studies: Multisite Trials and Meta-Analysis
Real-world applications of DPprior in educational multisite trials, medical meta-analysis, and large-scale policy evaluation.
- Diagnosing Your Prior: Avoiding Unintended Consequences
Learn to verify that your elicited Gamma hyperprior behaves as intended across all relevant dimensions, not just the number of clusters.
- Beyond Cluster Counts: Dual-Anchor Elicitation for Weight Control
Learn to control both expected cluster count AND weight concentration using the dual-anchor framework for Dirichlet Process prior elicitation.
- DPprior: Why Prior Elicitation Matters
An introduction to the DPprior package for principled elicitation of Gamma hyperpriors on the Dirichlet Process concentration parameter α, with emphasis on its utility in low-information settings such as multisite trials and meta-analyses.
- Quick Start: Your First Prior in 5 Minutes
Learn how to elicit your first Gamma hyperprior for α in a Dirichlet Process model in just 5 minutes using the DPprior package.
- From Poisson Proxy to NegBin: The A1 Approximation Theory
A rigorous treatment of the Poisson approximation for large J, scaling constant selection, the Negative Binomial gamma mixture, and the closed-form A1 inverse mapping for Gamma hyperprior elicitation.
- Exact Moment Matching: The A2 Newton Algorithm
A rigorous treatment of the Newton-Raphson algorithm for exact moment matching, including score-based Jacobian derivation, convergence analysis, numerical safeguards, and comparison with the A1 closed-form approximation.
- Mathematical Foundations: The K Distribution and Gamma Hyperpriors
A comprehensive treatment of the mathematical foundations underlying the DPprior package, including the exact distribution of the number of clusters K_J, moment calculations, and the theory behind Gamma hyperprior elicitation.
- Technical Deep Dive: Stirling Numbers and the Antoniak Distribution
A comprehensive treatment of unsigned Stirling numbers of the first kind, numerically stable log-space computation, and their application to the Antoniak distribution for exact computation of P(K_J = k | α).
- Weight Distributions: w₁, ρ, and the Dual-Anchor Framework
A comprehensive treatment of stick-breaking weight distributions under Gamma hyperpriors, the I_c functional for closed-form moments, and the mathematical foundations of dual-anchor elicitation.